Pythagorean theorem in 3D | Geometry | 8th grade | Khan Academy | Summary and Q&A

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October 15, 2014
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Pythagorean theorem in 3D | Geometry | 8th grade | Khan Academy

TL;DR

Calculate the length of a specific edge in a geometric figure consisting of a rectangular prism and a right pyramid.

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Questions & Answers

Q: What are the dimensions of the rectangular prism in the figure?

The rectangular prism is 3 units tall, 4 units wide, and 4 units long.

Q: What is the height of the right pyramid in the figure?

The height of the right pyramid is 1 unit.

Q: What is the goal of the problem?

The goal is to determine the length of one of the edges of the pyramid.

Q: Which theorem is used to solve the problem?

The Pythagorean theorem is used to find the length of the edge.

Summary & Key Takeaways

  • The figure has a rectangular prism with dimensions 3 units tall, 4 units wide, and 4 units long.

  • On top of the rectangular prism is a right pyramid with a height of 1 unit.

  • The goal is to find the length of one of the edges of the pyramid.

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